This is my first post, thank you for your consideration.
My question regards the process of adding radicals.
If it follows that
√8 = √2+4 = 2√2.
When why doesn't 2√2 + 2√2 = 2+2+√2+√2; instead of the correct answer of 4√2. How come the other like terms are discarted?
I know there is a super simple answer to this which will make me look like a complete mule, but I would rather be an informed mule than a proud fool.